Biography:
Simon Asher Levin is a Moffett Professor of Biology in the Department of Ecology and Evolution at Princeton University. Levin is a Fellow of the American Academy of Arts and Sciences and the American Association for the Advancement of Science, a Member of the National Academy of Sciences and the American Philosophical Society, and a Foreign Member of the Istituto Veneto.

Levin won the MacArthur Award (1988), Distinguished Service Citation (1998), and the Eminent Ecologist Award (2010) of the Ecological Society of America; the Okubo Award of the Society for Mathematical Biology and the Japanese Society for Mathematical Biology (2001); and the Distinguished Scientist Award of the American Institute for Biological Sciences (2007). He was honored with the Dr. A.H. Heineken Prize (2004) for Environmental Sciences by the Royal Netherlands Academy of Arts and Sciences; the Kyoto Prize in Basic Sciences (2005) by the Inamori Foundation; the Margalef Prize (2010) of the Government of Catalonia; and the Tyler Prize for Environmental Achievement (2014).

Abstract:

The subject of mathematical ecology is one of the oldest in mathematical
biology, having its formal roots a century ago in the work of the great
mathematician Vito Volterra, with links, some long before, to demography,
epidemiology and genetics. Classical challenges remain in understanding the
dynamics of populations and connections to the structure of ecological
communities. However, the scales of integration and scope for interdisciplinary
work have increased dramatically in recent years. Metagenomic studies have
provided vast stores of information on the microscopic level, which cry out for
methods to allow scaling to the macroscopic level of ecosystems, and for
understanding biogeochemical cycles and broad ecosystem patterns as emergent
phenomena; indeed, global change has pushed that mandate well beyond the
ecosystem to the level of the biosphere. Secondly, the recognition of the
importance of collective phenomena, from the formation of biofilms to the
dynamics of vertebrate flocks and schools to collective decision-making in
human populations and critical transitions in human and environmental systems
poses important and exciting opportunities for mathematicians and physicists to
shed light. Finally, from behavioral and evolutionary perspectives, these
collectives display conflict of purpose or fitness across levels, leading to
game-theoretic problems in understanding how cooperation emerges in Nature, and
how it might be realized in dealing with problems of the Global Commons. This
lecture will attempt to weave these topics together and both survey recent
work, and offer challenges for how mathematics can contribute to open problems.